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Peer-reviewedCC BY 4.0Communications Physics

Liouvillian exceptional-point-induced phase transition in a single Kerr-cat qubit

Abstract

Exceptional points in non-Hermitian quantum systems give rise to genuine quantum phenomena. Recent explorations of exceptional-point-induced phase transitions have extended from discrete-variable to continuous-variable-encoded quantum systems. However, phase transitions driven by Liouvillian exceptional points (LEPs) in continuous-variable platforms remain largely unexplored. Here, we construct and investigate a Liouvillian exceptional structure based on a driven-dissipative Kerr-cat qubit. Through numerical simulations, we numerically reveal a non-Hermitian phase transition occurring at the LEP characterized by a sudden change in dynamical behavior from underdamped oscillations to overdamped relaxations as visualized via Wigner functions and Bloch sphere trajectories. The dynamical pattern of Wigner interference fringes provides a phase-space signature of the LEP-induced phase transition, while Wigner negativity certifies the genuine quantum nonclassicality of the system. Our results establish the Kerr-cat qubit as a continuous-variable setting for exploring dissipative quantum criticality and intrinsic non-Hermitian physics.

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BibTeX
@article{han2026liouvillian,
  title = {{Liouvillian exceptional-point-induced phase transition in a single Kerr-cat qubit}},
  author = {Pei-Rong Han and Tian-Le Yang and Wen Ning and Hao-Long Zhang and Huifang Kang and Huiye Qiu and Zhen-Biao Yang},
  journal = {Communications Physics},
  year = {2026},
  month = oct,
  doi = {10.1038/s42005-026-02919-7},
  url = {https://www.nature.com/articles/s42005-026-02919-7},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Liouvillian exceptional-point-induced phase transition in a single Kerr-cat qubit
AU  - Pei-Rong Han
AU  - Tian-Le Yang
AU  - Wen Ning
AU  - Hao-Long Zhang
AU  - Huifang Kang
AU  - Huiye Qiu
AU  - Zhen-Biao Yang
PY  - 2026
DA  - 2026/10/14
JO  - Communications Physics
DO  - 10.1038/s42005-026-02919-7
UR  - https://www.nature.com/articles/s42005-026-02919-7
AB  - Exceptional points in non-Hermitian quantum systems give rise to genuine quantum phenomena. Recent explorations of exceptional-point-induced phase transitions have extended from discrete-variable to continuous-variable-encoded quantum systems. However, phase transitions driven by Liouvillian exceptional points (LEPs) in continuous-variable platforms remain largely unexplored. Here, we construct and investigate a Liouvillian exceptional structure based on a driven-dissipative Kerr-cat qubit. Through numerical simulations, we numerically reveal a non-Hermitian phase transition occurring at the LEP characterized by a sudden change in dynamical behavior from underdamped oscillations to overdamped relaxations as visualized via Wigner functions and Bloch sphere trajectories. The dynamical pattern of Wigner interference fringes provides a phase-space signature of the LEP-induced phase transition, while Wigner negativity certifies the genuine quantum nonclassicality of the system. Our results establish the Kerr-cat qubit as a continuous-variable setting for exploring dissipative quantum criticality and intrinsic non-Hermitian physics.
SN  - 2399-3650
ER  -